155_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 155_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows page 1. Sign up to view the full content.

Problem 2.4-17 A trimetallic bar is uniformly compressed by an axial force P ± 9 kips applied through a rigid end plate (see figure). The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 1.25 in., the brass tube has outer diameter 1.75 in., and the copper tube has outer diameter 2.25 in. The corresponding moduli of elasticity are E s ± 30,0000 ksi, E b ± 16,000 ksi, and E c ± 18,000 ksi. Calculate the compressive stresses s s , s b , and s c in the steel, brass, and copper, respectively, due to the force P . P = 9 k Copper tube Brass tube Steel core 1.25 in. 1.75 in. 2.25 in. Solution 2.4-17 numerical properties (kips, inches) d c ± 2.25 in.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: d b ± 1.75 in. d s ± 1.25 in. E c ± 18000 ksi E b ± 16000 ksi E s ± 30000 ksi P ± 9 kips E QUATION OF EQUILIBRIUM ² F vert ± P s ³ P b ³ P c ± P (Eq. 1) E QUATIONS OF COMPATIBILITY ´ s ± b c ± s (Eqs. 2) F ORCE-DISPLACEMENT RELATIONS (Eqs. 3, 4, 5) S OLUTION OF EQUATIONS Substitute (3), (4), and (5) into Eqs. (2): (Eqs. 6, 7) P b ± P s E b A b E s A s P c ± P s E c A c E s A s d s ± P s L E s A s d b ± P b L E b A b d c ± P c L E c A c A c ± p 4 1 d c 2 µ d b 2 2 A b ± p 4 1 d b 2 µ d s 2 2 A s ± p 4 d s 2 SECTION 2.4 Statically Indeterminate Structures 149 Sec_2.4.qxd 9/25/08 11:38 AM Page 149...
View Full Document

## This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

Ask a homework question - tutors are online